Question

15 mark for review note: figure not drawn to scale. which equation represents the relationship between the angle measures in the triangle shown? a (x + y+53 = 0) b (x + y + 53=53) c (x + y + 53 = 180) d (x + y + 53=270)

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180 degrees.

Step2: Identify the interior angles

The interior angles of the given triangle are \(x^{\circ}\), \(y^{\circ}\), and \(53^{\circ}\).

Step3: Set up the equation

So, \(x + y+53 = 180\).

Answer:

C. \(x + y + 53=180\)